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直接上代码,过程不复杂 /// <summary> /// 判断两条线是否相交 /// </summary> /// <param name="a">线段1起点坐标</param> /// <param name="b">线段1终点坐标</param> /// <param name="c">线段2起点坐标</param> /// <param name="d">线段2终点坐标</param> /// <param name="intersection">相交点坐标</param> /// <returns>是否相交 0:两线平行 -1:不平行且未相交 1:两线相交</returns> private int GetIntersection(Point a, Point b, Point c, Point d ,ref Point intersection) { //判断异常 if (Math.Abs(b.X - a.Y) + Math.Abs(b.X - a.X) + Math.Abs(d.Y - c.Y) + Math.Abs(d.X - c.X) == 0) { if (c.X - a.X == 0) { Debug.Print("ABCD是同一个点!"); } else { Debug.Print("AB是一个点,CD是一个点,且AC不同!"); } return 0; } if (Math.Abs(b.Y - a.Y) + Math.Abs(b.X - a.X) == 0) { if ((a.X - d.X) * (c.Y - d.Y) - (a.Y - d.Y) * (c.X - d.X) == 0) { Debug.Print ("A、B是一个点,且在CD线段上!"); } else { Debug.Print ("A、B是一个点,且不在CD线段上!"); } return 0; } if (Math.Abs(d.Y - c.Y) + Math.Abs(d.X - c.X) == 0) { if ((d.X - b.X) * (a.Y - b.Y) - (d.Y - b.Y) * (a.X - b.X) == 0) { Debug.Print ("C、D是一个点,且在AB线段上!"); } else { Debug.Print ("C、D是一个点,且不在AB线段上!"); } } if ((b.Y - a.Y) * (c.X - d.X) - (b.X - a.X) * (c.Y - d.Y) == 0) { Debug.Print ("线段平行,无交点!"); return 0; } intersection.X = ((b.X - a.X) * (c.X - d.X) * (c.Y - a.Y) - c.X * (b.X - a.X) * (c.Y - d.Y) + a.X * (b.Y - a.Y) * (c.X - d.X)) / ((b.Y - a.Y) * (c.X - d.X) - (b.X - a.X) * (c.Y - d.Y)); intersection.Y = ((b.Y - a.Y) * (c.Y - d.Y) * (c.X - a.X) - c.Y * (b.Y - a.Y) * (c.X - d.X) + a.Y * (b.X - a.X) * (c.Y - d.Y)) / ((b.X - a.X) * (c.Y - d.Y) - (b.Y - a.Y) * (c.X - d.X)); if ((intersection.X - a.X) * (intersection.X - b.X) <= 0 && (intersection.X - c.X) * (intersection.X - d.X) <= 0 && (intersection.Y - a.Y) * (intersection.Y - b.Y) <= 0 && (intersection.Y - c.Y) * (intersection.Y - d.Y) <= 0) { Debug.Print ("线段相交于点(" + intersection.X + "," + intersection.Y + ")!"); return 1; //'相交 } else { Debug.Print ("线段相交于虚交点(" + intersection.X + "," + intersection.Y + ")!"); return -1; //'相交但不在线段上 } } |
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